CK12 Calculus - Single Variable
We now presentsomebasicfunctionsthat we will workwith throughoutthe course.We will providea list of eightbasicfunctionswith thei ...
Domain All reals Range All reals SquareRoot Domain Range AbsoluteValue Domain All reals ...
Range Rational Domain Range Sine Domain All reals Range ...
Cosine Domain All reals Range Graphingby Transformations Oncewe havethe basicfunctionsand eachgraphin our memory, we can easilys ...
In addition,we can shift graphsup and down.In general,if we have and is someconstantvalue, then the graphof is just the graphof ...
We can also flip graphsin the -axisby multiplyingby a negativecoefficient. ...
Finally, we can combinethesetransformationsinto a singleexampleas follows. Example5: The graphwill be generatedby taking flippin ...
FunctionComposition The last topic for this lessoninvolvesa way to combinefunctionscalledfunctioncomposition. Composition of fun ...
Learnedto composefunctions. ReviewQuestions In problems1–2, determineif the relationshipis a function.If it is a function,give ...
In problems6–8, sketchthe graphusingtransformationsof the graphsof basicfunctions. Find the composites, and for the ...
Domain , range This is the basicabsolutevaluefunctionshifted3/2 unitsto the right and downtwo units.Domainis All Realsand range ...
Reflectand shift the generalradicalfunctionas indicatedhere: 9. any functionswhere are calledinverses;in this problem and are ...
Fit data to quadraticmodels. Fit data to trigonometricmodels. Fit data to exponentialgrowthand decaymodels. Introduction In ou ...
Supposeyou measurethe heightand wingspansof nine of your classmatesand gatherthe followingdata. Use your graphingcalculatorto se ...
Sinceour calculatorwill also allowfor a varietyof non-linearfunctionsto be usedas models,we can therefore examinequitea few real ...
Let’s graphthe equationover our data.We see the followinggraph: TrigonometricModels The followingexampleshowshow a trigonometric ...
This examplesuggeststhat the sine over time is a functionthat is usedin a varietyof modelingsituations. Caution:Althoughthe fit ...
Let’s graphthe equationover our data.We see the followinggraph: In the homeworkwe will practiceusingour calculatorextensivelyto ...
1989 480 24 1990 497 16 1991 512 24 1992 513 21 1993 526 15 1994 557 33 1995 585 34 1996 614 34 1997 645 39 a. Makea scatterplot ...
1995 55 2000 58 2005 60 a. Makea scatterplot of the data. b. Basedon your sketch,shouldyou use a linearor quadraticmodelfor the ...
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